3.11 Integrals 1001 to 1100

   \(\int \genfrac {}{}{}{}{x^2}{\sqrt {2-3 x^2} \sqrt {1+x^2}} \, dx\) [1001]
   \(\int \genfrac {}{}{}{}{x^2}{\sqrt {2-3 x^2} \sqrt {4+x^2}} \, dx\) [1002]
   \(\int \genfrac {}{}{}{}{x^2}{\sqrt {2-3 x^2} \sqrt {1+4 x^2}} \, dx\) [1003]
   \(\int \genfrac {}{}{}{}{x^2}{\sqrt {1+x^2} \sqrt {2+3 x^2}} \, dx\) [1004]
   \(\int \genfrac {}{}{}{}{x^2}{\sqrt {4+x^2} \sqrt {2+3 x^2}} \, dx\) [1005]
   \(\int \genfrac {}{}{}{}{x^2}{\sqrt {2+3 x^2} \sqrt {1+4 x^2}} \, dx\) [1006]
   \(\int \genfrac {}{}{}{}{x^2}{\sqrt {1-x^2} \sqrt {-1+2 x^2}} \, dx\) [1007]
   \(\int \genfrac {}{}{}{}{x^5}{\sqrt [3]{1-x^2} (3+x^2)} \, dx\) [1008]
   \(\int \genfrac {}{}{}{}{x^3}{\sqrt [3]{1-x^2} (3+x^2)} \, dx\) [1009]
   \(\int \genfrac {}{}{}{}{x}{\sqrt [3]{1-x^2} (3+x^2)} \, dx\) [1010]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt [3]{1-x^2} (3+x^2)} \, dx\) [1011]
   \(\int \genfrac {}{}{}{}{1}{x^3 \sqrt [3]{1-x^2} (3+x^2)} \, dx\) [1012]
   \(\int \genfrac {}{}{}{}{1}{x^5 \sqrt [3]{1-x^2} (3+x^2)} \, dx\) [1013]
   \(\int \genfrac {}{}{}{}{x^4}{\sqrt [3]{1-x^2} (3+x^2)} \, dx\) [1014]
   \(\int \genfrac {}{}{}{}{x^2}{\sqrt [3]{1-x^2} (3+x^2)} \, dx\) [1015]
   \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{1-x^2} (3+x^2)} \, dx\) [1016]
   \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt [3]{1-x^2} (3+x^2)} \, dx\) [1017]
   \(\int \genfrac {}{}{}{}{1}{x^4 \sqrt [3]{1-x^2} (3+x^2)} \, dx\) [1018]
   \(\int \genfrac {}{}{}{}{x^7}{\sqrt [3]{1-x^2} (3+x^2)^2} \, dx\) [1019]
   \(\int \genfrac {}{}{}{}{x^5}{\sqrt [3]{1-x^2} (3+x^2)^2} \, dx\) [1020]
   \(\int \genfrac {}{}{}{}{x^3}{\sqrt [3]{1-x^2} (3+x^2)^2} \, dx\) [1021]
   \(\int \genfrac {}{}{}{}{x}{\sqrt [3]{1-x^2} (3+x^2)^2} \, dx\) [1022]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt [3]{1-x^2} (3+x^2)^2} \, dx\) [1023]
   \(\int \genfrac {}{}{}{}{1}{x^3 \sqrt [3]{1-x^2} (3+x^2)^2} \, dx\) [1024]
   \(\int \genfrac {}{}{}{}{1}{x^5 \sqrt [3]{1-x^2} (3+x^2)^2} \, dx\) [1025]
   \(\int \genfrac {}{}{}{}{x^4}{\sqrt [3]{1-x^2} (3+x^2)^2} \, dx\) [1026]
   \(\int \genfrac {}{}{}{}{x^2}{\sqrt [3]{1-x^2} (3+x^2)^2} \, dx\) [1027]
   \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{1-x^2} (3+x^2)^2} \, dx\) [1028]
   \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt [3]{1-x^2} (3+x^2)^2} \, dx\) [1029]
   \(\int \genfrac {}{}{}{}{1}{x^4 \sqrt [3]{1-x^2} (3+x^2)^2} \, dx\) [1030]
   \(\int \genfrac {}{}{}{}{x^7}{\sqrt [4]{2-3 x^2} (4-3 x^2)} \, dx\) [1031]
   \(\int \genfrac {}{}{}{}{x^5}{\sqrt [4]{2-3 x^2} (4-3 x^2)} \, dx\) [1032]
   \(\int \genfrac {}{}{}{}{x^3}{\sqrt [4]{2-3 x^2} (4-3 x^2)} \, dx\) [1033]
   \(\int \genfrac {}{}{}{}{x}{\sqrt [4]{2-3 x^2} (4-3 x^2)} \, dx\) [1034]
   \(\int \genfrac {}{}{}{}{1}{x \sqrt [4]{2-3 x^2} (4-3 x^2)} \, dx\) [1035]
   \(\int \genfrac {}{}{}{}{1}{x^3 \sqrt [4]{2-3 x^2} (4-3 x^2)} \, dx\) [1036]
   \(\int \genfrac {}{}{}{}{x^4}{\sqrt [4]{2-3 x^2} (4-3 x^2)} \, dx\) [1037]
   \(\int \genfrac {}{}{}{}{x^2}{\sqrt [4]{2-3 x^2} (4-3 x^2)} \, dx\) [1038]
   \(\int \genfrac {}{}{}{}{1}{\sqrt [4]{2-3 x^2} (4-3 x^2)} \, dx\) [1039]
   \(\int \genfrac {}{}{}{}{1}{x^2 \sqrt [4]{2-3 x^2} (4-3 x^2)} \, dx\) [1040]
   \(\int \genfrac {}{}{}{}{1}{x^4 \sqrt [4]{2-3 x^2} (4-3 x^2)} \, dx\) [1041]
   \(\int \genfrac {}{}{}{}{x^7}{(-2+3 x^2) \sqrt [4]{-1+3 x^2}} \, dx\) [1042]
   \(\int \genfrac {}{}{}{}{x^5}{(-2+3 x^2) \sqrt [4]{-1+3 x^2}} \, dx\) [1043]
   \(\int \genfrac {}{}{}{}{x^3}{(-2+3 x^2) \sqrt [4]{-1+3 x^2}} \, dx\) [1044]
   \(\int \genfrac {}{}{}{}{x}{(-2+3 x^2) \sqrt [4]{-1+3 x^2}} \, dx\) [1045]
   \(\int \genfrac {}{}{}{}{1}{x (-2+3 x^2) \sqrt [4]{-1+3 x^2}} \, dx\) [1046]
   \(\int \genfrac {}{}{}{}{1}{x^3 (-2+3 x^2) \sqrt [4]{-1+3 x^2}} \, dx\) [1047]
   \(\int \genfrac {}{}{}{}{x^4}{(-2+3 x^2) \sqrt [4]{-1+3 x^2}} \, dx\) [1048]
   \(\int \genfrac {}{}{}{}{x^2}{(-2+3 x^2) \sqrt [4]{-1+3 x^2}} \, dx\) [1049]
   \(\int \genfrac {}{}{}{}{1}{(-2+3 x^2) \sqrt [4]{-1+3 x^2}} \, dx\) [1050]
   \(\int \genfrac {}{}{}{}{1}{x^2 (-2+3 x^2) \sqrt [4]{-1+3 x^2}} \, dx\) [1051]
   \(\int \genfrac {}{}{}{}{1}{x^4 (-2+3 x^2) \sqrt [4]{-1+3 x^2}} \, dx\) [1052]
   \(\int \genfrac {}{}{}{}{x^2}{(2+3 x^2)^{3/4} (4+3 x^2)} \, dx\) [1053]
   \(\int \genfrac {}{}{}{}{x^2}{(2-3 x^2)^{3/4} (4-3 x^2)} \, dx\) [1054]
   \(\int \genfrac {}{}{}{}{x^2}{(2+b x^2)^{3/4} (4+b x^2)} \, dx\) [1055]
   \(\int \genfrac {}{}{}{}{x^2}{(2-b x^2)^{3/4} (4-b x^2)} \, dx\) [1056]
   \(\int \genfrac {}{}{}{}{x^2}{(a+3 x^2)^{3/4} (2 a+3 x^2)} \, dx\) [1057]
   \(\int \genfrac {}{}{}{}{x^2}{(a-3 x^2)^{3/4} (2 a-3 x^2)} \, dx\) [1058]
   \(\int \genfrac {}{}{}{}{x^2}{(a+b x^2)^{3/4} (2 a+b x^2)} \, dx\) [1059]
   \(\int \genfrac {}{}{}{}{x^2}{(a-b x^2)^{3/4} (2 a-b x^2)} \, dx\) [1060]
   \(\int \genfrac {}{}{}{}{x^7}{(2-3 x^2)^{3/4} (4-3 x^2)} \, dx\) [1061]
   \(\int \genfrac {}{}{}{}{x^5}{(2-3 x^2)^{3/4} (4-3 x^2)} \, dx\) [1062]
   \(\int \genfrac {}{}{}{}{x^3}{(2-3 x^2)^{3/4} (4-3 x^2)} \, dx\) [1063]
   \(\int \genfrac {}{}{}{}{x}{(2-3 x^2)^{3/4} (4-3 x^2)} \, dx\) [1064]
   \(\int \genfrac {}{}{}{}{1}{x (2-3 x^2)^{3/4} (4-3 x^2)} \, dx\) [1065]
   \(\int \genfrac {}{}{}{}{1}{x^3 (2-3 x^2)^{3/4} (4-3 x^2)} \, dx\) [1066]
   \(\int \genfrac {}{}{}{}{x^6}{(2-3 x^2)^{3/4} (4-3 x^2)} \, dx\) [1067]
   \(\int \genfrac {}{}{}{}{x^4}{(2-3 x^2)^{3/4} (4-3 x^2)} \, dx\) [1068]
   \(\int \genfrac {}{}{}{}{x^2}{(2-3 x^2)^{3/4} (4-3 x^2)} \, dx\) [1069]
   \(\int \genfrac {}{}{}{}{1}{(2-3 x^2)^{3/4} (4-3 x^2)} \, dx\) [1070]
   \(\int \genfrac {}{}{}{}{1}{x^2 (2-3 x^2)^{3/4} (4-3 x^2)} \, dx\) [1071]
   \(\int \genfrac {}{}{}{}{1}{x^4 (2-3 x^2)^{3/4} (4-3 x^2)} \, dx\) [1072]
   \(\int \genfrac {}{}{}{}{x^2}{(-2+3 x^2) (-1+3 x^2)^{3/4}} \, dx\) [1073]
   \(\int \genfrac {}{}{}{}{x^2}{(-2-3 x^2) (-1-3 x^2)^{3/4}} \, dx\) [1074]
   \(\int \genfrac {}{}{}{}{x^2}{(-2+b x^2) (-1+b x^2)^{3/4}} \, dx\) [1075]
   \(\int \genfrac {}{}{}{}{x^2}{(-2-b x^2) (-1-b x^2)^{3/4}} \, dx\) [1076]
   \(\int \genfrac {}{}{}{}{x^2}{(-2 a+3 x^2) (-a+3 x^2)^{3/4}} \, dx\) [1077]
   \(\int \genfrac {}{}{}{}{x^2}{(-2 a-3 x^2) (-a-3 x^2)^{3/4}} \, dx\) [1078]
   \(\int \genfrac {}{}{}{}{x^2}{(-2 a+b x^2) (-a+b x^2)^{3/4}} \, dx\) [1079]
   \(\int \genfrac {}{}{}{}{x^2}{(-2 a-b x^2) (-a-b x^2)^{3/4}} \, dx\) [1080]
   \(\int \genfrac {}{}{}{}{x^7}{(-2+3 x^2) (-1+3 x^2)^{3/4}} \, dx\) [1081]
   \(\int \genfrac {}{}{}{}{x^5}{(-2+3 x^2) (-1+3 x^2)^{3/4}} \, dx\) [1082]
   \(\int \genfrac {}{}{}{}{x^3}{(-2+3 x^2) (-1+3 x^2)^{3/4}} \, dx\) [1083]
   \(\int \genfrac {}{}{}{}{x}{(-2+3 x^2) (-1+3 x^2)^{3/4}} \, dx\) [1084]
   \(\int \genfrac {}{}{}{}{1}{x (-2+3 x^2) (-1+3 x^2)^{3/4}} \, dx\) [1085]
   \(\int \genfrac {}{}{}{}{1}{x^3 (-2+3 x^2) (-1+3 x^2)^{3/4}} \, dx\) [1086]
   \(\int \genfrac {}{}{}{}{x^6}{(-2+3 x^2) (-1+3 x^2)^{3/4}} \, dx\) [1087]
   \(\int \genfrac {}{}{}{}{x^4}{(-2+3 x^2) (-1+3 x^2)^{3/4}} \, dx\) [1088]
   \(\int \genfrac {}{}{}{}{x^2}{(-2+3 x^2) (-1+3 x^2)^{3/4}} \, dx\) [1089]
   \(\int \genfrac {}{}{}{}{1}{(-2+3 x^2) (-1+3 x^2)^{3/4}} \, dx\) [1090]
   \(\int \genfrac {}{}{}{}{1}{x^2 (-2+3 x^2) (-1+3 x^2)^{3/4}} \, dx\) [1091]
   \(\int \genfrac {}{}{}{}{1}{x^4 (-2+3 x^2) (-1+3 x^2)^{3/4}} \, dx\) [1092]
   \(\int \genfrac {}{}{}{}{(e x)^{5/2} (c+d x^2)}{(a+b x^2)^{3/4}} \, dx\) [1093]
   \(\int \genfrac {}{}{}{}{\sqrt {e x} (c+d x^2)}{(a+b x^2)^{3/4}} \, dx\) [1094]
   \(\int \genfrac {}{}{}{}{c+d x^2}{(e x)^{3/2} (a+b x^2)^{3/4}} \, dx\) [1095]
   \(\int \genfrac {}{}{}{}{c+d x^2}{(e x)^{7/2} (a+b x^2)^{3/4}} \, dx\) [1096]
   \(\int \genfrac {}{}{}{}{c+d x^2}{(e x)^{11/2} (a+b x^2)^{3/4}} \, dx\) [1097]
   \(\int \genfrac {}{}{}{}{c+d x^2}{(e x)^{15/2} (a+b x^2)^{3/4}} \, dx\) [1098]
   \(\int \genfrac {}{}{}{}{(e x)^{7/2} (c+d x^2)}{(a+b x^2)^{3/4}} \, dx\) [1099]
   \(\int \genfrac {}{}{}{}{(e x)^{3/2} (c+d x^2)}{(a+b x^2)^{3/4}} \, dx\) [1100]